Lie-Hamilton geometric aberration optics: symmetries and symbolic computation. We review the Lie-Hamilton treatment of optical aberrations to highlight its algorithmic composition property for concatenation of optical elements. mexLIE is a set of symbolic computation functions developed by the authors which permits the fully parametric design of optical systems including free spaces, aligned radial graded-index media, and polynomial refracting surfaces between these, to seventh aberration order. We give simple examples to illustrate its use.
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- Wolf, Kurt Bernardo; Krötzsch, Guillermo: Lie-Hamilton geometric aberration optics: symmetries and symbolic computation (1997)